Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
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The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.
Answer:
The y intercept for this one is two.
Answer: SECOND OPTION
Step-by-step explanation:
The area of a parallelogram can be calculated with this formula:

Where "b" is the of one base and "h" is the height.
You can observe in the figure that "b" and "h" are:

Then, substituting these values into the formula, you get that the area of the given parallelogram is:

This matches with the second option.
Answer:
a. 17.80 b. 71.20
Step-by-step explanation:
I used to hate percents. Let me teach you a trick:
take the og value (89) and multiply it by the percentage (20% or 0.2). Then once you have that answer (17.80), subtract it from the og value (89-17.80). That's your answer for how much you still owe! (71.20)
any other follow up questions? Just ask :)
Answer:
Step-by-step explanation:
35=-5t²+10t+22
5t²-10t+13=0
disc =b²-4ac=(-10)²-4×5×13=100-260=-160<0
t is imaginary.
So ball never reaches a height of 35 m